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Finding the Third Proportional to 38,586 and 57,987

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Solution

The third proportional to 38,586 and 57,987 is: 87,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,586 : 57,987 = 57,987 : x
  2. Step 2: Convert to fraction form
    38,586/57,987 = 57,987/x
  3. Step 3: Cross multiply
    38,586x = 57,987 × 57,987
  4. Step 4: Simplify right side
    38,586x = 3,362,492,169
  5. Step 5: Solve for x
    x = 3,362,492,169/38,586
  6. Step 6: Final answer
    x = 87,142.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.